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Finding the Fourth Proportional to 2,644.64, 3,641.28 and 2,013.15

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Solution

The fourth proportional to 2,644.64, 3,641.28 and 2,013.15 is: 2,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.64 : 3,641.28 = 2,013.15 : x
  2. Step 2: Convert to fraction form
    2,644.64/3,641.28 = 2,013.15/x
  3. Step 3: Cross multiply
    2,644.64x = 3,641.28 × 2,013.15
  4. Step 4: Simplify right side
    2,644.64x = 7,330,442.83
  5. Step 5: Solve for x
    x = 7,330,442.83/2,644.64
  6. Step 6: Final answer
    x = 2,771.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.